Topology Optimization of Active Structures using a Higher-Order Level-Set-XFEM-Density Approach

2018 ◽  
Author(s):  
Markus J. Geiss ◽  
Kurt Maute
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Higher Order ◽  
Active Structures

Conformal topology optimization of multi-material ferromagnetic soft active structures using an extended level set method

2022 ◽  
Vol 389 ◽  
pp. 114394
Author(s):  
Jiawei Tian ◽  
Manqi Li ◽  
Zhonghao Han ◽  
Yong Chen ◽  
Xianfeng David Gu ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Active Structures

scholarly journals Combined Level-Set-XFEM-Density Topology Optimization of Four-Dimensional Printed Structures Undergoing Large Deformation

2019 ◽  
Vol 141 (5) ◽  
Author(s):  
Markus J. Geiss ◽  
Narasimha Boddeti ◽  
Oliver Weeger ◽  
Kurt Maute ◽  
Martin L. Dunn
Keyword(s):  
Topology Optimization ◽  
3D Printing ◽  
Large Deformation ◽  
Level Set ◽  
Shape Change ◽  
Thermomechanical Model ◽  
Active Structures ◽  
Numerical Predictions ◽  
Multiple Materials ◽  
Material Layout

Advancement of additive manufacturing is driving a need for design tools that exploit the increasing fabrication freedom. Multimaterial, three-dimensional (3D) printing allows for the fabrication of components from multiple materials with different thermal, mechanical, and “active” behavior that can be spatially arranged in 3D with a resolution on the order of tens of microns. This can be exploited to incorporate shape changing features into additively manufactured structures. 3D printing with a downstream shape change in response to an external stimulus such as temperature, humidity, or light is referred to as four-dimensional (4D) printing. In this paper, a design methodology to determine the material layout of 4D printed materials with internal, programmable strains is introduced to create active structures that undergo large deformation and assume a desired target displacement upon heat activation. A level set (LS) approach together with the extended finite element method (XFEM) is combined with density-based topology optimization to describe the evolving multimaterial design problem in the optimization process. A finite deformation hyperelastic thermomechanical model is used together with an higher-order XFEM scheme to accurately predict the behavior of nonlinear slender structures during the design evolution. Examples are presented to demonstrate the unique capabilities of the proposed framework. Numerical predictions of optimized shape-changing structures are compared to 4D printed physical specimen and good agreement is achieved. Overall, a systematic design approach for creating 4D printed active structures with geometrically nonlinear behavior is presented which yields nonintuitive material layouts and geometries to achieve target deformations of various complexities.

scholarly journals Level set topology optimization with nodally integrated reproducing kernel particle method

2021 ◽  
Vol 385 ◽  
pp. 114016
Author(s):  
Andreas Neofytou ◽  
Tsung-Hui Huang ◽  
Sandilya Kambampati ◽  
Renato Picelli ◽  
Jiun-Shyan Chen ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Reproducing Kernel Particle
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